Smooth linearization for a saddle on Banach spaces
As a continuation of a previous work on linearization of class C1 of diffeomorphisms and flows in infinite dimensions near a fixed point, in this work we deal with the case of a saddle point with some non-resonance restrictions for the linear part. Our result can be seen as an extension of results by P....
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/885 |
| Acceso en línea: | https://hdl.handle.net/2117/885 |
| Access Level: | acceso abierto |
| Palabra clave: | Differential equations Partial differential equations Differentiable dynamical systems linearization conjugacy wave equation Equacions diferencials ordinàries Equacions en derivades parcials Sistemes dinàmics diferenciables Classificació AMS::34 Ordinary differential equations::34G Differential equations in abstract spaces Classificació AMS::34 Ordinary differential equations::34D Stability theory Classificació AMS::35 Partial differential equations::35L Partial differential equations of hyperbolic type Classificació AMS::37 Dynamical systems and ergodic theory::37L Infinite-dimensional dissipative dynamical systems |
| Sumario: | As a continuation of a previous work on linearization of class C1 of diffeomorphisms and flows in infinite dimensions near a fixed point, in this work we deal with the case of a saddle point with some non-resonance restrictions for the linear part. Our result can be seen as an extension of results by P. Hartman [2] and Aronson, Belitskii and Zhuzhoma [1] in dimension two. We also present an application to a system of nonlinear wave equations. |
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